feat(api): search with Meilisearch (M2)

- artists, albums and tracks indexes are rebuilt from PostgreSQL next
  to the live ones and swapped in, so search keeps working; a rebuild
  runs on start, after every scan and when a source is removed
- transliteration fields (Кино ↔ kino) and a retry in the other
  keyboard layout (ghbdtn → привет) reported as corrected_query
- /search/suggest (3 artists, 3 albums, 5 tracks), /search by type
  with cursor pages, /admin/search/reindex; Meilisearch is part of
  /readyz
- found ids are hydrated from the catalog, so a lagging index never
  returns deleted entries

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

services/api/internal/server/router.go

@@ -12,6 +12,7 @@ import (
 	"pipu/api/internal/auth"
 	"pipu/api/internal/library"
 	"pipu/api/internal/platform/httpx"
+	"pipu/api/internal/search"
 	"pipu/api/internal/system"
 )
 
@@ -22,6 +23,7 @@ type Deps struct {
 	Auth   *auth.Handler
 	// Library — хранилища, сканы и каталог.
 	Library *library.Handler
+	Search  *search.Handler
 	// AuthService проверяет access-токены в middleware. nil — только для тестов служебных эндпоинтов.
 	AuthService *auth.Service
 }
@@ -33,12 +35,14 @@ type (
 	systemHandler  = system.Handler
 	authHandler    = auth.Handler
 	libraryHandler = library.Handler
+	searchHandler  = search.Handler
 )
 
 type handlers struct {
 	*systemHandler
 	*authHandler
 	*libraryHandler
+	*searchHandler
 }
 
 var _ gen.StrictServerInterface = handlers{}
@@ -58,7 +62,7 @@ func NewRouter(d Deps) http.Handler {
 	r.NotFound(httpx.NotFound)
 	r.MethodNotAllowed(httpx.MethodNotAllowed)
 
-	strict := gen.NewStrictHandlerWithOptions(handlers{systemHandler: d.System, authHandler: d.Auth, libraryHandler: d.Library}, nil, gen.StrictHTTPServerOptions{
+	strict := gen.NewStrictHandlerWithOptions(handlers{systemHandler: d.System, authHandler: d.Auth, libraryHandler: d.Library, searchHandler: d.Search}, nil, gen.StrictHTTPServerOptions{
 		RequestErrorHandlerFunc:  httpx.RequestError,
 		ResponseErrorHandlerFunc: httpx.ResponseError(log),
 	})